Total number of words formed by 2 vowels and 3 consonants taken from 4

1.	Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to(A) 60 (B) 120 (C) 7200(D) 720
Answer» Answer is (C) Given number of vowels = 4 and number of consonants = 5 We have to form words by 2 vowels and 3 consonants. So, lets first select 2 vowels and 3 consonants. Number of ways of selection = ⁴C₂ x ⁵C₃ = 6 x 10 = 60 Now, these letters can be arranged in 5! ways. So, total number of words = 60 x 5! = 60 x 120 = 7200

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to(A) 60 (B) 120 (C) 7200(D) 720

Answer»

Answer is (C)

Given number of vowels = 4 and number of consonants = 5 We have to form words by 2 vowels and 3 consonants.

So, lets first select 2 vowels and 3 consonants.

Number of ways of selection = ⁴C₂ x ⁵C₃ = 6 x 10 = 60 Now, these letters can be arranged in 5! ways.

So, total number of words = 60 x 5! = 60 x 120 = 7200